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Finding the Fourth Proportional to 482.16, 723.54 and 399.72

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Solution

The fourth proportional to 482.16, 723.54 and 399.72 is: 599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 723.54 = 399.72 : x
  2. Step 2: Convert to fraction form
    482.16/723.54 = 399.72/x
  3. Step 3: Cross multiply
    482.16x = 723.54 × 399.72
  4. Step 4: Simplify right side
    482.16x = 289,213.41
  5. Step 5: Solve for x
    x = 289,213.41/482.16
  6. Step 6: Final answer
    x = 599.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.